Marvel family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 229680426 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 229730078 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-18 13:41:28 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-18 15:39:59 UTC</tt>.<br>
: The original revision id was <tt>229680426</tt>.<br>
: The original revision id was <tt>229730078</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 19: Line 19:
7-limit minimax: 3 and 5 1/4c flat, 7 just
7-limit minimax: 3 and 5 1/4c flat, 7 just
[|1 0 0 0&gt;, |5/4 1/2 -1/2 1/4&gt;, |5/4 -1/2 1/2 1/4&gt;, |0 0 0 1&gt;]
[|1 0 0 0&gt;, |5/4 1/2 -1/2 1/4&gt;, |5/4 -1/2 1/2 1/4&gt;, |0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5
[[Eigenmonzo subgroup]]: 2.5/3.7


9-limit minimax: 3 1/6c flat, 5 1/3c flat, 7 just
9-limit minimax: 3 1/6c flat, 5 1/3c flat, 7 just
[|1 0 0 0&gt;, |5/6 2/3 -1/3 1/6&gt;, |5/3 -2/3 1/3 1/3&gt;, |0 0 0 1&gt;]
[|1 0 0 0&gt;, |5/6 2/3 -1/3 1/6&gt;, |5/3 -2/3 1/3 1/3&gt;, |0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 10/9
[[Eigenmonzo subgroup]]: 2.9/5.7


Lattice basis: secor length 1.256, 3/2 length 1.369
Lattice basis: secor length 1.256, 3/2 length 1.369
Line 66: Line 66:
[|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,
[|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,
|3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]
|3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9
[[Eigenmonzo subgroup]]: 2.9/5.11/9


Lattice basis: secor length 1.0364 5/4 length 1.0759
Lattice basis: secor length 1.0364 5/4 length 1.0759
Line 91: Line 91:
==13-limit marvel==
==13-limit marvel==
Commas: 225/224, 385/384, 325/324
Commas: 225/224, 385/384, 325/324
13-limit eigenmonzo subgroup: 2.7.13/5
15-limit eigenmonzo subgroup: 2.7.15/13


Map: [&lt;1 0 0 -5 12 2|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -2|]
Map: [&lt;1 0 0 -5 12 2|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -2|]
Line 98: Line 101:
==Marvell==
==Marvell==
Commas: 225/224, 385/384, 1573/1568
Commas: 225/224, 385/384, 1573/1568
13-limit eigenmonzo subgroup: 2.9/5.11/9
15-limit eigenmonzo subgroup: 2.7.15/13


Map: [&lt;1 0 0 -5 12 -29|, &lt;0 1 0 2 -1 6|, &lt;0 0 1 2 -3 10|]
Map: [&lt;1 0 0 -5 12 -29|, &lt;0 1 0 2 -1 6|, &lt;0 0 1 2 -3 10|]
Line 105: Line 111:
==Deecee==
==Deecee==
Commas: 225/224, 385/384, 364/363
Commas: 225/224, 385/384, 364/363
13-limit eigenmonzo subgroup: 2.9/5.13/9
15-limit eigenmonzo subgroup: 2.3.13/5


Map: [&lt;1 0 0 -5 12 27|, &lt;0 1 0 2 -1 -3|, &lt;0 0 1 2 -3 -8|]
Map: [&lt;1 0 0 -5 12 27|, &lt;0 1 0 2 -1 -3|, &lt;0 0 1 2 -3 -8|]
Line 112: Line 121:
==Tripod==
==Tripod==
Commas: 105/104, 144/143, 196/195
Commas: 105/104, 144/143, 196/195
13-limit eigenmonzo subgroup: 2.9/7.13/11
15-limit eigenmonzo subgroup: 2.5/3.13/11


Map: [&lt;1 0 0 -5 12 -8|, &lt;0 1 0 2 -1 3|, &lt;0 0 1 2 -3 3|]
Map: [&lt;1 0 0 -5 12 -8|, &lt;0 1 0 2 -1 3|, &lt;0 0 1 2 -3 3|]
Line 222: Line 234:
7-limit minimax: 3 and 5 1/4c flat, 7 just&lt;br /&gt;
7-limit minimax: 3 and 5 1/4c flat, 7 just&lt;br /&gt;
[|1 0 0 0&amp;gt;, |5/4 1/2 -1/2 1/4&amp;gt;, |5/4 -1/2 1/2 1/4&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
[|1 0 0 0&amp;gt;, |5/4 1/2 -1/2 1/4&amp;gt;, |5/4 -1/2 1/2 1/4&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 8/7, 6/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.5/3.7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
9-limit minimax: 3 1/6c flat, 5 1/3c flat, 7 just&lt;br /&gt;
9-limit minimax: 3 1/6c flat, 5 1/3c flat, 7 just&lt;br /&gt;
[|1 0 0 0&amp;gt;, |5/6 2/3 -1/3 1/6&amp;gt;, |5/3 -2/3 1/3 1/3&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
[|1 0 0 0&amp;gt;, |5/6 2/3 -1/3 1/6&amp;gt;, |5/3 -2/3 1/3 1/3&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 8/7, 10/9&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.9/5.7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: secor length 1.256, 3/2 length 1.369&lt;br /&gt;
Lattice basis: secor length 1.256, 3/2 length 1.369&lt;br /&gt;
Line 269: Line 281:
[|1 0 0 0 0&amp;gt;, |4/3 8/9 -1/3 0 -1/9&amp;gt;, |8/3 -2/9 1/3 0 -2/9&amp;gt;,&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 8/9 -1/3 0 -1/9&amp;gt;, |8/3 -2/9 1/3 0 -2/9&amp;gt;,&lt;br /&gt;
|3 4/3 0 0 -2/3&amp;gt;, |8/3 -2/9 -2/3 0 7/9&amp;gt;]&lt;br /&gt;
|3 4/3 0 0 -2/3&amp;gt;, |8/3 -2/9 -2/3 0 7/9&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/9&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.9/5.11/9&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: secor length 1.0364 5/4 length 1.0759&lt;br /&gt;
Lattice basis: secor length 1.0364 5/4 length 1.0759&lt;br /&gt;
Line 294: Line 306:
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Unidecimal marvel (Unimarv)-13-limit marvel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit marvel&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Unidecimal marvel (Unimarv)-13-limit marvel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit marvel&lt;/h2&gt;
Commas: 225/224, 385/384, 325/324&lt;br /&gt;
Commas: 225/224, 385/384, 325/324&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.7.13/5&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.7.15/13&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 2|, &amp;lt;0 1 0 2 -1 4|, &amp;lt;0 0 1 2 -3 -2|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 2|, &amp;lt;0 1 0 2 -1 4|, &amp;lt;0 0 1 2 -3 -2|]&lt;br /&gt;
Line 301: Line 316:
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Marvell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Marvell&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Marvell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Marvell&lt;/h2&gt;
Commas: 225/224, 385/384, 1573/1568&lt;br /&gt;
Commas: 225/224, 385/384, 1573/1568&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.9/5.11/9&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.7.15/13&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 -29|, &amp;lt;0 1 0 2 -1 6|, &amp;lt;0 0 1 2 -3 10|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 -29|, &amp;lt;0 1 0 2 -1 6|, &amp;lt;0 0 1 2 -3 10|]&lt;br /&gt;
Line 308: Line 326:
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Deecee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Deecee&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Deecee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Deecee&lt;/h2&gt;
Commas: 225/224, 385/384, 364/363&lt;br /&gt;
Commas: 225/224, 385/384, 364/363&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.9/5.13/9&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.3.13/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 27|, &amp;lt;0 1 0 2 -1 -3|, &amp;lt;0 0 1 2 -3 -8|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 27|, &amp;lt;0 1 0 2 -1 -3|, &amp;lt;0 0 1 2 -3 -8|]&lt;br /&gt;
Line 315: Line 336:
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Tripod"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Tripod&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Unidecimal marvel (Unimarv)-Tripod"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Tripod&lt;/h2&gt;
Commas: 105/104, 144/143, 196/195&lt;br /&gt;
Commas: 105/104, 144/143, 196/195&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.9/7.13/11&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.5/3.13/11&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 -8|, &amp;lt;0 1 0 2 -1 3|, &amp;lt;0 0 1 2 -3 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 12 -8|, &amp;lt;0 1 0 2 -1 3|, &amp;lt;0 0 1 2 -3 3|]&lt;br /&gt;